M2: Classwork 2/24/25

Front

What is the point-slope form of a linear equation?

Back

y - y₁ = m(x - x₁) where m is the slope and (x₁, y₁) is a point on the line.

Front

What does the equation y = -4 represent?

Back

A horizontal line that crosses the y-axis at -4.

Front

How do you calculate the slope of a line given two points (x₁, y₁) and (x₂, y₂)?

Back

Slope (m) = (y₂ - y₁) / (x₂ - x₁).

Front

What does an undefined slope indicate about a line?

Back

The line is vertical, meaning it goes straight up and down.

Front

Given m = 3 and the point (1, 7), write the equation of the line in point-slope form.

Back

y - 7 = 3(x - 1).

Front

What is the slope of a line that rises 2 units for every 1 unit it runs?

Back

The slope is 2.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

The line descends from left to right.

Front

What is the y-intercept of the line represented by the equation y = 2x + 3?

Back

The y-intercept is 3.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.